The bond in 'H*Cl molecule and Ar2 is characterized by the force constant k480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan-tum harmonic oscillator.• What are the zero-point energies and the uncertainty in the bond length for thesetwo molecules?• What will be the effect of deuteration (i.e., exchanging 'H with 2H) and the isotopicexchange of 35CI with 37CI on the zero point energy respectively if the force constantremains the same? Based on your result, determine the resolution of the spectrom-eter in cm- respectively in order to see the change by these two isotopic exchangeand compare.

calculation of ZERO POINT ENERGIES of a harmonic oscillator

The bond in 'H5CI molecule and Ar2 is characterized by the force constant k 480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan- tum harmonic oscillator. • What are the zero-point energies and the uncertainty in the bond length for these two molecules?

The bond in 'H5CI molecule and Ar2 is characterized by the force constant k 480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan- tum harmonic oscillator. • What are the zero-point energies and the uncertainty in the bond length for these two molecules?

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 58AP

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Question

The bond in 'H*Cl molecule and Ar2 is characterized by the force constant k
480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan-
tum harmonic oscillator.
• What are the zero-point energies and the uncertainty in the bond length for these
two molecules?
• What will be the effect of deuteration (i.e., exchanging 'H with 2H) and the isotopic
exchange of 35CI with 37CI on the zero point energy respectively if the force constant
remains the same? Based on your result, determine the resolution of the spectrom-
eter in cm- respectively in order to see the change by these two isotopic exchange
and compare.

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